Verify that a[$b+c$] is equal to [$a\times b$]+[$a\times c$] if a=12 ,b=-4, c=2
Solution:
We need check if LHS= RHS
L. H.S
$ a=12 ,b=-4, c=2$
$a*(b+c) = 12 \times(-4 + 2 )$
= $12 \times(-2)$
= $-24$
$a\times(b+c) = -24$
R.H.S
$ a=12 ,b=-4, c=2$
$ (a\times b)+(a\times c) = (12 \times -4) + (12 \times 2)$
= $ -48 + 24$
= $ -24$
$(a*b)+(a*c)$ = $-24$
L.H.S = R.H.S
So, $a\times(b+c) = (a\times b)+(a\times c)$
Hence verified.
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